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Finding the Third Proportional to 326,580.61 and 494,793.56

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Solution

The third proportional to 326,580.61 and 494,793.56 is: 749,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,580.61 : 494,793.56 = 494,793.56 : x
  2. Step 2: Convert to fraction form
    326,580.61/494,793.56 = 494,793.56/x
  3. Step 3: Cross multiply
    326,580.61x = 494,793.56 × 494,793.56
  4. Step 4: Simplify right side
    326,580.61x = 244,820,669,491.44
  5. Step 5: Solve for x
    x = 244,820,669,491.44/326,580.61
  6. Step 6: Final answer
    x = 749,648.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.